Computer generation of optimal holograms for optical trap arrays.

We propose a new iterative algorithm for obtaining optimal holograms targeted to the generation of arbitrary three dimensional structures of optical traps. The algorithm basic idea and performance are discussed in conjunction to other available algorithms. We show that all algorithms lead to a phase distribution maximizing a specific performance quantifier, expressed as a function of the trap intensities. In this scheme we go a step further by introducing a new quantifier and the associated algorithm leading to unprecedented efficiency and uniformity in trap light distributions. The algorithms performances are investigated both numerically and experimentally.

[1]  G. Spalding,et al.  Computer-generated holographic optical tweezer arrays , 2000, cond-mat/0008414.

[2]  H. Tiziani,et al.  Multi-functional optical tweezers using computer-generated holograms , 2000 .

[3]  Joachim P Spatz,et al.  Symmetry dependence of holograms for optical trapping. , 2005, Optics letters.

[4]  Martin Meister,et al.  Novel approaches to direct search algorithms for the design of diffractive optical elements , 2002 .

[5]  D. Grier A revolution in optical manipulation , 2003, Nature.

[6]  Santiago Vallmitjana,et al.  Complex modulation characterization of liquid crystal devices by interferometric data correlation , 1997 .

[7]  Jordi Andilla,et al.  Fast generation of holographic optical tweezers by random mask encoding of Fourier components. , 2006, Optics express.

[8]  Marco Pettini,et al.  Topological signature of first-order phase transitions in a mean-field model , 2003 .

[9]  Jennifer E. Curtis,et al.  Dynamic holographic optical tweezers , 2002 .

[10]  Johannes Courtial,et al.  3D manipulation of particles into crystal structures using holographic optical tweezers. , 2004, Optics express.

[11]  Yael Roichman,et al.  Optimized holographic optical traps. , 2005, Optics express.

[12]  L. B. Lesem,et al.  The kinoform: a new wavefront reconstruction device , 1969 .

[13]  S. Chu,et al.  Observation of a single-beam gradient force optical trap for dielectric particles. , 1986, Optics letters.

[14]  Johannes Courtial,et al.  Interactive application in holographic optical tweezers of a multi-plane Gerchberg-Saxton algorithm for three-dimensional light shaping. , 2004, Optics express.

[15]  Hans J. Tiziani,et al.  Computer-generated holograms from 3D-objects written on twisted-nematic liquid crystal displays , 1997 .

[16]  M R Taghizadeh,et al.  Iterative algorithm for the design of diffractive phase elements for laser beam shaping. , 2002, Optics letters.

[17]  H J Tiziani,et al.  Optical particle trapping with computer-generated holograms written on a liquid-crystal display. , 1999, Optics letters.

[18]  J. Goodman Introduction to Fourier optics , 1969 .